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# An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $$\frac{{1}}{{2}}$$ kg

B. $$\frac{{1}}{{8}}$$ kg

C. $$\frac{{3}}{{14}}$$ kg

D. $$\frac{{7}}{{9}}$$ kg

### Solution(By Examveda Team)

Ratio of Zinc, Copper and Tin is given as,
Z : C : T = 2 : 3 : 1.
Now, let the first alloy be 12 kg (taken as 4 kg Zinc, 6 kg Copper and 2 Kg Lead). Weight of second alloy = 12 kg as, C : T : L = 5 : 4 : 3. (taken as 5 kg Copper, 4 kg Tin and 3 Kg Lead.)
Alloys are mixed together to form third alloy. Then the ratio of content in it,
Z : C : T : L = 4 : (6 + 5) : (2 + 4) : 3
Weight of third alloy = 12 + 12 = 24 Kg.
So, weight of the Lead = $$\frac{{3}}{{24}}$$ = $$\frac{{1}}{{8}}$$ kg.

1. why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?
GIVEN IN QUEST
Z : C : T = 2 : 3 : 1 =6
C : T : L = 5 : 4 : 3=12
why cannt v take 6kg IF U WANT TO TAKE, THEN TAKE IT AS C : T : L = 5/2 : 4/2 : 3/2
BECAUSE Z:C:T AND C:T:L SHOULD BE EQUAL .

If equal weights of both alloys are melted together to form a third alloy,

2. রিটেনে এভাবে করলে মার্কস দিবে?

3. Z : C : T = 2 : 3 : 1 or 4 : 6 : 2
C : T : L = 5 : 4 : 3
Z : C : T : L = 4 : 11 : 6 : 3
Weight of L = 3/24 = 1/8 (Ans.)

4. From this we learn that if in alloy content is equally mix then we have to make equal them

5. Could you Please Explain more elaborately...

6. Thank u very much.. now i understood very quickly. thank u so much for ur concern....

7. thank u sir

8. Subbu, you can take any weight according to your convenient but you need focus on the ration given of alloy. As alloy ratio is given, 2 : 3 : 1. So your taken weight would be in same ratio. That's why 4, 6 and 2 kg has been taken. It gives ratio 2 : 3 : 1. You can also take 8, 12 and 4 kg of metals which gives total alloy 24 kg. It will also give the same answer.

9. why the weight is taken as 12kg for both alloy? why cannt v take 6kg of first alloy and 12 kg of next alloy?

10. Thank you so much sir

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